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Finding the Fourth Proportional to 47,322.90, 70,836.66 and 34,857

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Solution

The fourth proportional to 47,322.90, 70,836.66 and 34,857 is: 52,176.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,322.90 : 70,836.66 = 34,857 : x
  2. Step 2: Convert to fraction form
    47,322.90/70,836.66 = 34,857/x
  3. Step 3: Cross multiply
    47,322.90x = 70,836.66 × 34,857
  4. Step 4: Simplify right side
    47,322.90x = 2,469,153,457.62
  5. Step 5: Solve for x
    x = 2,469,153,457.62/47,322.90
  6. Step 6: Final answer
    x = 52,176.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.